1032492000 has 192 divisors, whose sum is σ = 3412281600. Its totient is φ = 272908800.

The previous prime is 1032491953. The next prime is 1032492047. The reversal of 1032492000 is 2942301.

1032492000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1032491953) and next prime (1032492047).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667691 + ... + 1668309.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 2^1032492000 is an apocalyptic number.

1032492000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1032492000 is an abundant number, since it is smaller than the sum of its proper divisors (2379789600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1032492000 is a wasteful number, since it uses less digits than its factorization.

1032492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1032492000 is about 32132.4135414693. The cubic root of 1032492000 is about 1010.7154359809.

The spelling of 1032492000 in words is "one billion, thirty-two million, four hundred ninety-two thousand".